74721263616000 has 2464 divisors, whose sum is σ = 308950077279168. Its totient is φ = 17938199347200.

The previous prime is 74721263615953. The next prime is 74721263616001. The reversal of 74721263616000 is 61636212747.

74721263616000 is a `hidden beast` number, since 7 + 4 + 7 + 2 + 1 + 2 + 6 + 36 + 1 + 600 + 0 = 666.

74721263616000 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74721263616001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3248750591989 + ... + 3248750592011.

Almost surely, 2^{74721263616000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74721263616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154475038639584).

74721263616000 is an abundant number, since it is smaller than the sum of its proper divisors (234228813663168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

74721263616000 is an frugal number, since it uses more digits than its factorization.

74721263616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

Adding to 74721263616000 its reverse (61636212747), we get a palindrome (74782899828747).

The spelling of 74721263616000 in words is "seventy-four trillion, seven hundred twenty-one billion, two hundred sixty-three million, six hundred sixteen thousand".